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An enhanced CUSUM‐ t chart for process mean
Author(s) -
Haq Abdul,
Abidin Zain Ul
Publication year - 2019
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2490
Subject(s) - cusum , chart , statistics , x bar chart , computer science , monte carlo method , process (computing) , mathematics , control chart , ewma chart , algorithm , operating system
In this paper, we propose an auxiliary‐information–based (AIB) Crosier cumulative sum (CCUSUM) t chart for monitoring the process mean, namely, the AIB‐CCUSUM‐ t chart. The run length characteristics of the proposed chart are computed using Monte Carlo simulation. The optimal parameters for the AIB‐CCUSUM‐ t chart to detect specific mean shifts are computed. The fast initial response (FIR) feature is also attached with the proposed chart. It is found that the AIB‐CCUSUM‐ t and FIR‐AIB‐CCUSUM‐ t charts perform uniformly and substantially better than the CCUSUM‐ t and FIR‐CCUSUM‐ t charts, respectively. An example is presented to support the theory.